<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="lattices.html#NM8">B_Lattice</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:71"/>
<font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#R3" target="_self">[=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:71"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7" target="_self">`</a> </span>)</span> <a href="lattices.html#K4" target="_self">"/\"</a> <font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#R3" target="_self">[=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7" target="_self">`</a> </span>)</span> <a href="lattices.html#K4" target="_self">"/\"</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="lattices.html#T27" target="_self">Th27</a></i>;<br/>
<a NAME="E3:71"/><b>then </b><i><font color="Green">E43</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7" target="_self">`</a> </span>)</span> <a href="lattices.html#K4" target="_self">"/\"</a> <font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#R3" target="_self">[=</a>  <a href="lattices.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="lattices.html#T47" target="_self">Th47</a></i>;<br/>
<a NAME="E4:71"/>
 <a href="lattices.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>1</sub></font> <a href="lattices.html#R3" target="_self">[=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7" target="_self">`</a> </span>)</span> <a href="lattices.html#K4" target="_self">"/\"</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="lattices.html#T41" target="_self">Th41</a></i>;<br/>
<a NAME="E5:71"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7" target="_self">`</a> </span>)</span> <a href="lattices.html#K4" target="_self">"/\"</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="lattices.html#K5" target="_self">Bottom</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="lattices.html#E3:71"><i><font color="Green">E43</font></i></a>, <a class="ref" href="lattices.html#T26" target="_self">Th26</a></i>;<br/>
<b>hence </b><a NAME="E6:71"/>
<font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7" target="_self">`</a>  <a href="lattices.html#R3" target="_self">[=</a> <font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K7" target="_self">`</a> 
 <b>by </b><i><a class="ref" href="lattices.html#T52" target="_self">Th52</a></i>;<br/>


</div>
